456516312075 has 18 divisors (see below), whose sum is σ = 817671439364. Its totient is φ = 243475366320.

The previous prime is 456516312071. The next prime is 456516312139. The reversal of 456516312075 is 570213615654.

456516312075 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 1 + 631 + 2 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 456516312075 - 2² = 456516312071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456516312075.

It is not an unprimeable number, because it can be changed into a prime (456516312071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1014480469 + ... + 1014480918.

Almost surely, 2^456516312075 is an apocalyptic number.

456516312075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456516312075 is a deficient number, since it is larger than the sum of its proper divisors (361155127289).

456516312075 is a wasteful number, since it uses less digits than its factorization.

456516312075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028961403 (or 2028961395 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 456516312075 in words is "four hundred fifty-six billion, five hundred sixteen million, three hundred twelve thousand, seventy-five".